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Finding the Fourth Proportional to 840.84, 1,261.05 and 424.09

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Solution

The fourth proportional to 840.84, 1,261.05 and 424.09 is: 636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.84 : 1,261.05 = 424.09 : x
  2. Step 2: Convert to fraction form
    840.84/1,261.05 = 424.09/x
  3. Step 3: Cross multiply
    840.84x = 1,261.05 × 424.09
  4. Step 4: Simplify right side
    840.84x = 534,798.69
  5. Step 5: Solve for x
    x = 534,798.69/840.84
  6. Step 6: Final answer
    x = 636.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.